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Enter a value, an expression, or a term with a variable like 10^n+1 to list a range. Switch to Database id to look a number up by its stored id. Reading never stores anything; use Create to add a number to the database. See the expression syntax & functions reference.

P · Proven prime
id #1100000004917632167 1,866 digits created 2023-10-25

Value

211624856907079025972062921201954072382093724821030772968459397414225570995408432347535789694036532948809915459465737457547212555360628888942804023461721504014227517833347805483049976807052648012375131728794083697630387204759730673272594736678156787876670423508576750657268191546837645806841353528204717115287741270533023123957032461013183509636088406227017225486161527370658141823377896223303485869176790005372464637858932462858514934790078902296950550654470044299251008346092478743846844534134685119692642295785924868561730996459555772221943214678963895406397178107867184224922122705270440798314770390776392016493250363939506898002849363460504367285996532205102430070858194205836026588819127652058232441917268445606044379685220679643967927646473172636791567283675631932270374745720446618848042180341875978775322958347260550309819004092631169662523304283648179145151160730283538630719208104474202400785774376429554138816423096188253884535925835565479843871303156225228619796866001872928644729809320795104445910728827586928242794324985534583571477151011830263015162563923054206264494847033206926356844463411154308483144999652471999513015899675948792034647115828789026433308054622806580855295559159516134623097212462950504490330853218011030297670850241486394757517350956548538688996833018130622902057318388187240118081705659373475890947085285198002585630436722215283724039748335343128273546365283964348048048823781363164761362425304887512953816437765194465178600598051553302782600678265672806224118104207588906883512014642956137849859851178006427239073999778443338911401108760258943555702311396409414051704110225922178913262606412952924820203899729503238463358366596177097666763342552085572202321432260566643102106563777506398505406877382235359389303504362163863263097386475529667621178527342068289224259182652967698771182068957539376497233685474696201258738778278003
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Is factor of

Primality

Certificate chain stepproven prime

Proven as step 13 of the certificate chain of a 1,979-digit prime (221 intermediate primes).

Certified number1,979-digit prime
Certificatedownload
Certificate chainshow step 13 of 221

N-1 and N+1

Checking N-1 / N+1 factorization…

From the command linefdb · curl
fdb
fdb number id:1100000004917632167 --detail 2 --decimal
curl
curl -s 'https://factordb.com:4059/rpc' -H 'Content-Type: application/json' -d '{"jsonrpc":"2.0","id":1,"method":"get_number","params":{"target":{"id":1100000004917632167},"decimal":true,"detail":2}}'